Martino Lupini

activity

20112026

most citedBoundary representations of operator spaces, and compact rectangular matrix convex sets

210 citations · 464 across the 57 of their papers we have counts for

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Showing 2014Show all

9 papers · 1 filter

math.OA2014

Set theory and von Neumann algebras

Asger Törnquist, Martino Lupini

These are the notes from Asger Törnquist's Appalachian Set Theory lectures at Carnegie Mellon University. They form a chapter in the LMS lecture notes series 406.

math.OA2014★ 5 cited

A universal nuclear operator system

Martino Lupini

By means of Fraïssé theory for metric structures developed by Ben Yaacov, we show that there exists a separable $1$ -exact operator system $GS$ ---which we call the Gurarij…

math.LO2014★ 16 cited

Fraïssé limits of C*-algebras

Christopher J. Eagle, Ilijas Farah, Bradd Hart +3

We realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II $_{1}$ factor as Fraïssé limits of suitable classes of structures. Moreover by means of Fraïssé theory we p…

math.OA2014★ 10 cited

The classification problem for finitely generated operator systems and spaces

Martín Argerami, Samuel Coskey, Mehrdad Kalantar +3

The classification of separable operator spaces and systems is commonly believed to be intractable. We analyze this belief from the point of view of Borel complexity theory. On one…

math.OA2014

Uniqueness, universality, and homogeneity of the noncommutative Gurarij space

Martino Lupini

We realize the noncommutative Gurarij space $NG$ defined by Oikhberg as the Fra\"ıssé limit of the class of finite-dimensional $1$ -exact operator spaces. As a consequence…

math.OA2014

Representations of étale groupoids on $L^{p}$ -spaces

Eusebio Gardella, Martino Lupini

For $p \in (1, \infty)$ , we study representations of étale groupoids on $L^{p}$ -spaces. Our main result is a generalization of Renault's disintegration theorem for representations of…

math.LO2014

Polish groupoids and functorial complexity

Martino Lupini

We introduce and study the notion of functorial Borel complexity for Polish groupoids. Such a notion aims at measuring the complexity of classifying the objects of a category in a…

math.OA2014★ 7 cited

Conjugacy and cocycle conjugacy of automorphisms of $O_{2}$ are not Borel

Eusebio Gardella, Martino Lupini

The group of automorphisms of the Cuntz algebra $O_{2}$ is a Polish group with respect to the topology of pointwise convergence in norm. Our main result is that the relat…

math.OA2014

Borel complexity and automorphisms of C*-algebras

David Kerr, Martino Lupini, N. Christopher Phillips

We show that if $A$ is $Z$ , $O_{2}$ , $O_{\infty}$ , a UHF algebra of infinite type, or the tensor product of a UHF algebra of infinite type and $\mathcal…

Set theory and von Neumann algebras

A universal nuclear operator system

Fraïssé limits of C*-algebras

The classification problem for finitely generated operator systems and spaces

Uniqueness, universality, and homogeneity of the noncommutative Gurarij space

Representations of étale groupoids on Lp-spaces

Polish groupoids and functorial complexity

Conjugacy and cocycle conjugacy of automorphisms of O2​ are not Borel

Borel complexity and automorphisms of C*-algebras

Representations of étale groupoids on $L^{p}$ -spaces

Conjugacy and cocycle conjugacy of automorphisms of $O_{2}$ are not Borel